8000-2600=5400
5400/12=450
monthly pavement =450
12x450+2600=8000
Hey there,
Your question states: <span>A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.
So, I will do 94.75 minus 11.50 because he bought nice scrubs so that would be 83.25.
I will do 83.25 divided by 9 because that's the number that person bought, each scrub will end up to be 9.25.
Hope this helps.
~Jurgen</span>
I think the answer might be B
Average speed = total miles driven / total driving time
average speed = (150 + 100) / (3 + 1 1/2) =
250 / (4 1/2) =
250 / (9/2) =
250 * 2/9 =
500 / 9 = 55.55 mph
Answer:
0.1505 = 15.05% probability that the hockey team wins 6 games in November
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
The probability that a certain hockey team will win any given game is 0.3723
So ![p = 0.3723](https://tex.z-dn.net/?f=p%20%3D%200.3723)
12 games in November
So ![n = 12](https://tex.z-dn.net/?f=n%20%3D%2012)
What is the probability that the hockey team wins 6 games in November?
This is ![P(X = 6)](https://tex.z-dn.net/?f=P%28X%20%3D%206%29)
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505](https://tex.z-dn.net/?f=P%28X%20%3D%206%29%20%3D%20C_%7B12%2C6%7D.%280.3723%29%5E%7B6%7D.%281-0.3723%29%5E%7B6%7D%20%3D%200.1505)
0.1505 = 15.05% probability that the hockey team wins 6 games in November